Finding the Third Proportional to 23,488 and 31,312
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Solution
The third proportional to 23,488 and 31,312 is: 41,742.22
Step by Step Solution
- Step 1: Write the proportion equation
23,488 : 31,312 = 31,312 : x - Step 2: Convert to fraction form
23,488/31,312 = 31,312/x - Step 3: Cross multiply
23,488x = 31,312 × 31,312 - Step 4: Simplify right side
23,488x = 980,441,344 - Step 5: Solve for x
x = 980,441,344/23,488 - Step 6: Final answer
x = 41,742.22
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.